Binomial transform of the partition numbers (A000041).

Terms

a(0) =1a(1) =2a(2) =5a(3) =13a(4) =34a(5) =88a(6) =225a(7) =569a(8) =1425a(9) =3538a(10) =8717a(11) =21331a(12) =51879a(13) =125474a(14) =301929a(15) =723144a(16) =1724532a(17) =4096210a(18) =9693455a(19) =22859524a(20) =53733252a(21) =125919189a(22) =294232580a(23) =685661202a(24) =1593719407a(25) =3695348909a(26) =8548564856a(27) =19732115915a(28) =45450793102a(29) =104481137953